493804722153600 has 3456 divisors, whose sum is σ = 2163431273203200. Its totient is φ = 106420469760000.

The previous prime is 493804722153577. The next prime is 493804722153629. The reversal of 493804722153600 is 6351227408394.

493804722153600 is a `hidden beast` number, since 4 + 9 + 3 + 8 + 0 + 4 + 7 + 2 + 21 + 5 + 3 + 600 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 338454229671 + ... + 338454231129.

It is a 1-persistent number, because it is pandigital, but 2⋅493804722153600 = 987609444307200 is not.

Almost surely, 2^{493804722153600} is an apocalyptic number.

493804722153600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 493804722153600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1081715636601600).

493804722153600 is an abundant number, since it is smaller than the sum of its proper divisors (1669626551049600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

493804722153600 is a wasteful number, since it uses less digits than its factorization.

493804722153600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1796 (or 1765 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 493804722153600 in words is "four hundred ninety-three trillion, eight hundred four billion, seven hundred twenty-two million, one hundred fifty-three thousand, six hundred".